Pedro Núñez

I am a postdoc working in algebraic geometry in the group of Jungkai Alfred Chen at National Taiwan University. Before I was a PhD student of Stefan Kebekus at the University of Freiburg. Here is my CV.

My research interests are birational geometry and derived categories of algebraic varieties.

Extension of adapted differentials on klt orbifolds.
Preprint: arXiv:2411.17268. (Submitted.)
The Albanese morphism for hyperelliptic varieties,
with Pieter Belmans and Andreas Demleitner.
Indagationes Mathematicae, (2025). DOI:10.1016/j.indag.2025.10.004.
Preprint: arXiv:2411.14814.
Adapted differentials as a qfh-sheaf.
Mathematische Zeitschrift 304, 68 (2023). DOI:10.1007/s00209-023-03330-6.
Preprint: arXiv:2210.07968.
A note on semiorthogonal decompositions for Fano fibrations.
Geometriae Dedicata 216, 20 (2022). DOI:10.1007/s10711-022-00680-z.
Preprint: arXiv:2002.10987.

Birational classification of algebraic varieties and derived categories of algebraic varieties. More specifically:

Campana's birational classification program and differential forms therein.
(See this talk for more details.)
Semiorthogonal decomopositions and their relation to the minimal model program.
(See this talk for more details.)

Extension of adapted differentials on klt orbifolds.
Preprint: arXiv:2411.17268. (Submitted.)
The Albanese morphism for hyperelliptic varieties,
with Pieter Belmans and Andreas Demleitner.
Indagationes Mathematicae, (2025). DOI:10.1016/j.indag.2025.10.004.
Preprint: arXiv:2411.14814.
Adapted differentials as a qfh-sheaf.
Mathematische Zeitschrift 304, 68 (2023). DOI:10.1007/s00209-023-03330-6.
Preprint: arXiv:2210.07968.
A note on semiorthogonal decompositions for Fano fibrations.
Geometriae Dedicata 216, 20 (2022). DOI:10.1007/s10711-022-00680-z.
Preprint: arXiv:2002.10987.

Categorical aspects of Campana orbifolds, PhD thesis written under the supervision of Stefan Kebekus at the University of Freiburg (2023).
Derived categories of Fano fibrations, master's thesis written under the supervision of Luca Tasin and Pieter Belmans at the University of Bonn (2019).
Blow-ups in algebraic geometry, bachelor's thesis written under the supervision of Nikita Semenov at the Ludwig-Maximilians-University of Munich (2017).

Differential Galois correspondence, script for a seminar on differential Galois theory organized by Annette Huber-Klavitter at the University of Freiburg (SS 22).
Sites and Topologies, script for a seminar on Topos Theory and Logic organized by Luca Terenzi at the University of Freiburg (WS 21/22).
Thom Isomorphism theorem, script for a seminar on K-theory organized by Luca Terenzi at the University of Freiburg (SS 21).
Hilbert Schemes of points on surfaces, script for a seminar on Heisenberg algebras and Hilbert schemes of points on surfaces organized by Mara Ungureanu at the University of Freiburg (SS 21).
Zariski Cancellation, script for a seminar on insightful examples organized by Oliver Braunling at the Uniersity of Freiburg (WS 20/21).
Hitchin–Kobayashi correspondence, script for a seminar on Higgs bundles organized by Andriy Haydys at the University of Freiburg (SS 20).
Condensed Abelian Groups, script for a seminar on condensed mathematics organized by Johan Commelin at the University of Freiburg (WS 19/20).
Projective bundle formula, script for a seminar on characteristic classes of topological vector bundles organized by Fabian Hebestreit at the University of Bonn (WS 18/19).
Riemann–Roch theorem for surfaces, script for a seminar on the classifcation of algebraic surfaces organized by Luca Tasin at the University of Bonn (SS 18).

Enumerative Geometry, notes for a seminar that I organized at the University of Freiburg (WS 20/21). (Here is the program.)

Thanks to Julia Schneider for giving me this idea, and thanks to Claude for helping me implement it.

Lecturer for Calculus 3 and 4 Class 10 (Calculus for Economics) during the Summer Term 2025 at National Taiwan University.
Lecturer for Calculus 1 and 2 Class 10 (Calculus for Economics) during the Winter Term 2024/2025 at National Taiwan University.
Teaching assistant for Elementary Geometry during the Summer Term 2023 at the University of Freiburg.
Teaching assistant for Riemann Surfaces during the Winter Term 2022/2023 at the University of Freiburg.
Teaching assistant for Elementary Geometry during the Summer Term 2022 at the University of Freiburg.
Teaching assistant for Algebra and Number Theory during the Winter Term 2021/2022 at the University of Freiburg.
Tutor for Introduction to Algebra during the Winter Term 2018/219 at the University of Bonn.
Tutor for Linear Algebra for Informatics and Teachers during the Summer Term 2018 at the University of Bonn.

National Taiwan University
Department of Mathematics
No. 1, Sec. 4, Roosevelt Rd.,
Taipei 10617, Taiwan

Astronomy - Mathematics Building,
Room 547

My colleague Flora Poon and I organized the conference Tour de Formosa from January 12 to January 16 2026.

My basic LaTeX templates. They are a bit minimalistic, and they include a script to quickly create new LaTeX documents with corresponding (private) GitHub repository from a Linux terminal.
Pieter Belman's GitHub LaTeX template. It comes with a very nice GitHub workflow, which allows you to compile the PDF file directly on GitHub. So you can even edit and compile your TeX files comfortably on your phone.